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Finding the Third Proportional to 489,238.25 and 688,954

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Solution

The third proportional to 489,238.25 and 688,954 is: 970,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,238.25 : 688,954 = 688,954 : x
  2. Step 2: Convert to fraction form
    489,238.25/688,954 = 688,954/x
  3. Step 3: Cross multiply
    489,238.25x = 688,954 × 688,954
  4. Step 4: Simplify right side
    489,238.25x = 474,657,614,116
  5. Step 5: Solve for x
    x = 474,657,614,116/489,238.25
  6. Step 6: Final answer
    x = 970,197.27

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.